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Finding the Fourth Proportional to 601.54, 903.15 and 397.42

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Solution

The fourth proportional to 601.54, 903.15 and 397.42 is: 596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.54 : 903.15 = 397.42 : x
  2. Step 2: Convert to fraction form
    601.54/903.15 = 397.42/x
  3. Step 3: Cross multiply
    601.54x = 903.15 × 397.42
  4. Step 4: Simplify right side
    601.54x = 358,932.70
  5. Step 5: Solve for x
    x = 358,932.70/601.54
  6. Step 6: Final answer
    x = 596.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.